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8 votes
Taylor has attached cross braces diagonally across the backside

of a bookshelf to improve its stability. The horizontal distance
between the ends of each cross brace is 75 centimeters and
the vertical distance is 56 centimeters. Find the length of each
cross brace.
56 cm

User Huayi Wei
by
3.4k points

1 Answer

4 votes
Use Pythagorean theorem
a^2 + b^2 = c^2
a^2 + 56^2 = 75^2
a^2 + 3136 = 5625
a^2 = 2489
a = 49.89 cm
User Wakthar
by
3.5k points